cross-scale correspondence test

Compiled with AI assistance and selectively reviewed. Please consult the cited passages; the books remain the authoritative source. About this companion

Editorial synthesis · provisional

Definition

The cross-scale correspondence test is the corpus’s three-condition guardrail for distinguishing warranted scale equivalence from heuristic resemblance. Shared roles must be specified independently of the compared cases, support at least one specific checkable transferable expectation, and survive known disanalogies relevant to that transfer. Meeting only the first condition leaves a comparison explicitly heuristic rather than evidence of shared structure.

Explanation

The first condition prevents a pattern being constructed only after looking at each chosen example. The second demands more than naming similar stages: something learned in one domain must constrain a specific expectation in another. The third keeps differences causally consequential, allowing a disanalogy to defeat the proposed transfer rather than treating every objection as superficial.

RB3 complements this guardrail by asking for the potential field, differentiating constraints, transformation, stabilization and reiteration to be mapped, alongside predictive power and context robustness. These role specifications organize the comparison; they do not automatically supply the independent empirical warrant required by RB1’s stronger test.

AB’s Stengers-linked note also refuses interpretive jurisdiction from a successful comparison. PB sketches a shared-grammar span but labels the wider formal development a draft requiring verification. The proposed entry consequently describes a methodological criterion, not a certification that all cross-domain examples or formal sketches in the corpus already pass it.

Scope and attribution

Describe the test without inventing a passed prediction or upgrading the corpus’s conjectures.

PB — The Possible Book

The span formalization remains within a draft explicitly requiring verification.

Occurrence locators: 154, 155.

RB1 — The Real Book, Volume I: The Possible Is Real

The three conditions define the direct test and the explicit heuristic fallback.

Occurrence locators: 186, 187, 268.

RB3 — The Real Book, Volume III: Murmurations

Role mapping, prediction and contextual robustness complement the operational guardrail.

Occurrence locators: 52, 53; Notes: 35.

Background used in the editorial explanation

Named theories and mechanisms are distinguished from neighboring background, homonyms and the author’s own synthesis. Reproduced AI passages retain their separate voice.